medium · FRM Part 2 Risk & Investment Management

A portfolio optimizer returns a suggested 15% short position in Utilities to hedge a large long position in Industrials. The analyst notices the Marginal VaR of the Utilities position is negative.

If the analyst doubles the short position to 30%, will the Marginal VaR necessarily remain the same?

  1. Yes, because Marginal VaR is a fixed, unchanging property of that asset class.
  2. Yes, provided the correlations between the two sectors remain perfectly stable and unchanged.
  3. No, because the portfolio beta and total volatility will change as the composition shifts.
  4. No, because Marginal VaR is always exactly equal to zero whenever a position is used purely as a hedge.

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